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Finding the Fourth Proportional to 428,200.20, 642,300.30 and 287,195.40

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Solution

The fourth proportional to 428,200.20, 642,300.30 and 287,195.40 is: 430,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,200.20 : 642,300.30 = 287,195.40 : x
  2. Step 2: Convert to fraction form
    428,200.20/642,300.30 = 287,195.40/x
  3. Step 3: Cross multiply
    428,200.20x = 642,300.30 × 287,195.40
  4. Step 4: Simplify right side
    428,200.20x = 184,465,691,578.62
  5. Step 5: Solve for x
    x = 184,465,691,578.62/428,200.20
  6. Step 6: Final answer
    x = 430,793.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.